IIT JEE Practice Question and Answer
8Q: Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of at least one failure is greater than or equal to 31/32 , then p lies in the interval ? 1505 05b5cc71ee4d2b4197774f5c7
5b5cc71ee4d2b4197774f5c7- 1[1, 32]false
- 2(0, 1)false
- 3[1, 1/2]true
- 4(1, 1/2]false
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Answer : 3. "[1, 1/2]"
Explanation :
Answer: C) [1, 1/2] Explanation: Probability of atleast one failure= 1 - no failure > 31/32= 1 - P5 > 31/32= P5<1/32= p < 1/2Also p > 0Hence p lies in [0,1/2].
Q: A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ? 1505 05b5cc745e4d2b4197774f9fe
5b5cc745e4d2b4197774f9fe- 136 kmphtrue
- 232 kmphfalse
- 328 kmphfalse
- 434 kmphfalse
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Answer : 1. "36 kmph"
Explanation :
Answer: A) 36 kmph Explanation: Let the speed of goods truck be 'p' kmphDistance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs. 10p = 4 x 90p = 36kmph.Therefore, the speed of the goods truck is p = 36 kmph.
Q: Who Discovered The Nucleus of a Cell? 1505 05b5cc6b0e4d2b4197774d288
5b5cc6b0e4d2b4197774d288- 1Otto Hahnfalse
- 2John Daltonfalse
- 3Robert Browntrue
- 4Marie Curiefalse
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Answer : 3. "Robert Brown"
Explanation :
Answer: C) Robert Brown Explanation: Robert Brown, Scottish botanist, Discovered The Nucleus of a Cell in 1831, London. When Brown was studying orchids under microscope when he observed an opaque area, which he called the "Areola" or "Nucleus", in the cells of the flower's outer layer. The nucleus was also described by Franz Bauer in 1804 but in detail Robert Brown made it in 1831.
Q: Each hemoglobin molecule can transport two molecules of oxygen. 1505 05b5cc699e4d2b4197774c689
5b5cc699e4d2b4197774c689- 1TRUEfalse
- 2FALSEtrue
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Answer : 2. "FALSE"
Explanation :
Answer: B) FALSE Explanation: FALSE. Each hemoglobin molecule can transport four molecules of oxygen. Hemoglobin, or Hb, is a protein molecule found in red blood cells (erythrocytes) made of four subunits: two alpha subunits and two beta subunits. Heme the component of hemoglobin responsible for binding oxygen consists of an iron ion that binds oxygen and a porphyrin ring that binds the globin molecules, one molecule binds one molecule of oxygen and can bind up to four oxygen molecules.
Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1504 05b5cc701e4d2b4197774f17a
5b5cc701e4d2b4197774f17a- 1Rs. 2000true
- 2Rs. 2100false
- 3Rs. 1900false
- 4Rs. 2150false
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Answer : 1. "Rs. 2000"
Explanation :
Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000
Q: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1504 05b5cc6c0e4d2b4197774db0f
5b5cc6c0e4d2b4197774db0f- 115 cmfalse
- 218 cmfalse
- 334 cmtrue
- 426 cmfalse
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Answer : 3. "34 cm"
Explanation :
Answer: C) 34 cm Explanation: Let the side of the square be 's' cm length of rectangle = (s+5) cm breadth of rectangle = (s-3)cm (s+5) (s-3) = s2 - 5s - 3s - 15 = s2 2s = 15 Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2) = 2(15 + 2) = 34 cm
Q: Why is burning coal a major source of pollution? 1504 05b5cc662e4d2b4197774be69
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Answer :
Explanation :
Coal is chemically complex fuel. Whenever it is burned, gases are given off and particles of ash, called "fly ash," are released. Release of sulfur from burning into the air. The sulfur in coal combines with oxygen to form sulfur dioxide, which can be a major source of air pollution if emitted in large enough quantities. This stuff comes back as acid rain when it attaches itself to a raindrop. Today, many of the effects of coal burning have been reduced significantly or eliminated. This is super-nasty and is only stopped by buying low-sulfur coal from Montana or Wyoming. The eastern power plants have to pay to move the coal from out west and this increases the price of power production.
Q: What is the difference between the number of uneducated females in city P and that of uneducated males in city S ? 1503 05b5cc6c8e4d2b4197774df37
5b5cc6c8e4d2b4197774df37- 19 lakhstrue
- 26 lakhsfalse
- 33 lakhsfalse
- 42 lakhsfalse
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Answer : 1. "9 lakhs"
Explanation :
Answer: A) 9 lakhs Explanation: Educated females in city P = 25 lakhs Uneducated females in city P = 30 - 25 = 5 lakhs Educated males city S = 21 lakhs Educated males in city S = 35 - 21= 14 lakhs Required difference = 14 - 5 = 9 lakhs

